A new superhero movie has its first showing and there are 155 people in line to see it. If the ratio of kids to adults waiting to see this movie is 3:2 , how many adults are in line? Use a tape diagram to help organize your thinking.(1 point)
adults
Let's use a tape diagram to represent the situation.
We know that the ratio of kids to adults is 3:2.
So, let's divide the total number of people in line by the ratio: 155 / 5 = 31.
This means that each "group" in the ratio represents 31 people.
Since there are 2 groups in the ratio, there must be 2 * 31 = <<2*31=62>>62 adults in line.
Therefore, there are 62 adults in line.
To solve this problem, let's first represent the ratio of kids to adults using a tape diagram.
Let's divide the tape diagram into 5 equal parts, representing the total number of people in line. The ratio tells us that there are 3 parts for kids and 2 parts for adults.
Kids | Kids | Kids | Adults | Adults
We know that there are 155 people in line, so we can represent this with the total length of the tape diagram.
Kids | Kids | Kids | Adults | Adults = 155
There are a total of 5 parts in the tape diagram, so each part represents 155 / 5 = 31 people.
Since there are 2 parts representing adults, we can multiply 31 by 2 to find the number of adults in line.
31 * 2 = 62
Therefore, there are 62 adults in line to see the superhero movie.
To find the number of adults in line, we need to determine the number of adults in relation to the number of kids. Given that the ratio of kids to adults is 3:2, we can set up a proportion.
Let's assign variables to represent the number of kids and adults, respectively.
Let x be the number of kids and y be the number of adults.
According to the ratio, we have the equation:
x/y = 3/2
To solve for y, we can cross-multiply and then isolate y.
2x = 3y
Divide both sides by 3 to get:
2x/3 = y
Now we can plug in the known information. We know there are a total of 155 people in line. So:
x + y = 155
Substituting the value of y, we have:
x + 2x/3 = 155
To solve this equation, we can multiply by 3 to get rid of the denominator:
3x + 2x = 465
Combining like terms:
5x = 465
Dividing both sides by 5:
x = 93
Now we know that there are 93 kids in line. To find the number of adults, we can substitute this value back into our equation:
y = 2x/3 = 2 * 93 / 3 = 62
Therefore, there are 62 adults in line to see the movie.